88349821448832 has 64 divisors (see below), whose sum is σ = 260754681369600. Its totient is φ = 29449940481792.

The previous prime is 88349821448797. The next prime is 88349821448851. The reversal of 88349821448832 is 23884412894388.

88349821448832 is a `hidden beast` number, since 8 + 8 + 3 + 4 + 98 + 21 + 4 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12782088768 + ... + 12782095679.

It is an arithmetic number, because the mean of its divisors is an integer number (4074291896400).

Almost surely, 2^{88349821448832} is an apocalyptic number.

It is an amenable number.

88349821448832 is an abundant number, since it is smaller than the sum of its proper divisors (172404859920768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88349821448832 is a wasteful number, since it uses less digits than its factorization.

88349821448832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25564184470 (or 25564184452 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 88349821448832 in words is "eighty-eight trillion, three hundred forty-nine billion, eight hundred twenty-one million, four hundred forty-eight thousand, eight hundred thirty-two".